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Learning Objectives. Given a function, described by an equation, find function values (outputs) for specified inputs. Introduction. Throughout this course, you have been working with algebraic equations. Many of these equations are functions. For example, \ (\ y=4 x+1\) is an equation that represents a function.
- Graphing Types of Functions
Now that you have a table of values, you can use them to...
- Graphing Types of Functions
Evaluating Functions. To evaluate a function is to: Replace (substitute) any variable with its given number or expression. Like in this example: Example: evaluate the function f (x) = 2x+4 for x=5. Just replace the variable "x" with "5": f (5) = 2× 5 + 4 = 14. Answer: f (5) = 14. More Examples. Here is a function: f (x) = 1 − x + x 2.
5 dni temu · Evaluating Functions. A function is a mapping between an input and an output. For example, the function \ (f (x) = x^2\) takes an input \ (x\) and returns its square \ (x^2.\) In this case, \ (f (2) = 2^2 = 4,\) \ (f\big (\sqrt {3}\big) = \big (\sqrt {3}\big)^2 = 3,\) and so on.
To evaluate the function, take the value given for x x, and substitute that value in for x x in the expression. Let us look at a couple of examples. Example. Given f (x)=3x–4 f (x) = 3x–4, find f (5) f (5). Answer: Substitute 5 5 in for x x in the function. f (5)=3 (5)-4 f (5) = 3(5)−4. Simplify the expression on the right side of the equation.
Evaluate functions given tabular or graphical data. When we have a function in formula form, it is usually a simple matter to evaluate the function. For example, the function [latex]f\left (x\right)=5 - 3 {x}^ {2} [/latex] can be evaluated by squaring the input value, multiplying by 3, and then subtracting the product from 5.
Evaluating a function means finding the value of f(x) =… or y =… that corresponds to a given value of x. To do this, simply replace all the x variables with whatever x has been assigned. For example, if we are asked to evaluate f(4), then x has been assigned the value of 4.
To evaluate the function, take the value given for x, and substitute that value in for x in the expression. Let us look at a couple of examples. Example. Given [latex]f (x)=3x–4 [/latex], find [latex]f (5) [/latex]. Show Solution. Functions can be evaluated for negative values of x, too. Keep in mind the rules for integer operations. Example.
